Answer:
x=2
Step-by-step explanation:
<u>Step 1: Simplify both sides of the equation.</u>
3(x−4)=2(−2x+1)
(3 )(x)+(3 )(−4)=(2) (−2x)+(2) (1)(Distribute evenly)
3x+(−12)=−4x+2
3x−12=−4x+2
<u>Step 2: Add 4x to both sides.</u>
3x−12+4x=−4x+2+4x
7x−12=2
<u>Step 3: Add 12 to both sides.</u>
7x−12+12=2+12
7x=14
<u>Step 4: Divide both sides by 7.</u>
7x
/7
=14
/7
x=2
Option B is the answer
Step-by-step explanation:
Assuming it is a geometric series
A geometric series will converge if -1< r < 1 written as |r| < 1 .That is if the common ratio is between -1 and 1 like 1/2...For example : 1/2 + 1/4 + 1/8 + ...
if the common ratio, r is greater than 1 or less than -1, the terms of the series become larger and larger in magnitude. The sum of the terms also gets larger and larger, and the series has no sum. The series diverges. For example : 4+ 40+ 400+ 4000 +... The common ration here is 10 and the series diverges. That implies that option C and D are out
For example :
If is r is equal to 1 , that is |r|=1 , all of the terms of the series are the same. For example , 2+2+2+2+... The series diverges.
And the first term doesn't affect the convergence of the series..that implies that option A is out
A series converges if and only if the absolute value of the common ratio is less than one: |r|<1
Answer:
1704 inches
Step-by-step explanation:
Take the length of each shelf and multiply by the number of shelves
6* 284 =1704 inches
well add -6y to 6y which equals 0 then add 8y to 6y which equals 14y
now you have 13.02=14y
now you can divide 13.02 divided into 14 which equals 0.93
0.93 = y
Answer:
The ratio of the areas = the ratio of the squares of the scale factor.
So the area of Z is 3^2 * 11 = 99 sq units.
